ASYMPTOTIC FORMULA OF AVERAGE DISTANCES ON FRACTAL NETWORKS MODELED BY SIERPINSKI TETRAHEDRON

DOI10.1142/S0218348X19501202zbMath1434.28017WikidataQ127407574 ScholiaQ127407574MaRDI QIDQ5108650

Qin Wang, Juan Deng

Publication date: 5 May 2020

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

self-similarityrenewal theoremfractalgeodesic distanceSierpinski tetrahedron

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Fractals (28A80) Distance in graphs (05C12)

Related Items (14)

THE HYPER-WIENER INDICES OF VICSEK NETWORKS ⋮ ZAGREB ECCENTRICITY INDICES OF VICSEK NETWORKS ⋮ ECCENTRIC STEINER DISTANCE SUM OF VICSEK NETWORKS ⋮ NODE-WEIGHTED AVERAGE FERMAT DISTANCES OF FRACTAL TREE NETWORKS ⋮ AVERAGE FERMAT DISTANCES ON VICSEK NETWORKS ⋮ AVERAGE FERMAT DISTANCE OF A SELF-SIMILAR FRACTAL TREE ⋮ FRACTAL VERSION OF ZAGREB ECCENTRICITY INDEX ⋮ AVERAGE DISTANCES OF A FAMILY OF P.C.F. SELF-SIMILAR NETWORKS ⋮ Weighted average geodesic distance of Vicsek network in three-dimensional space ⋮ MEAN GEODESIC DISTANCE OF n-LEVEL SIERPINSKI CARPET ⋮ AVERAGE DISTANCES OF LINDSTRÖM SNOWFLAKE NETWORKS ⋮ SELF-SIMILAR TOUCHING NETWORKS — PART I ⋮ SELF-SIMILAR TOUCHING NETWORKS — PART II ⋮ AVERAGE FERMAT DISTANCE OF A FRACTAL TREE

Cites Work

• Asymptotic formula on average path length of fractal networks modeled on Sierpinski gasket
• Scaling of average weighted shortest path and average receiving time on weighted hierarchical networks
• Fractal and complex network analyses of protein molecular dynamics
• Scale-free effect of substitution networks
• Fractality of evolving self-similar networks
• Eigentime identities of fractal sailboat networks
• Geodesic distances and intrinsic distances on some fractal sets
• Scaling of average sending time on weighted Koch networks
• Emergence of Scaling in Random Networks
• The exact solution of the mean geodesic distance for Vicsek fractals
• AVERAGE GEODESIC DISTANCE OF SIERPINSKI GASKET AND SIERPINSKI NETWORKS
• ASYMPTOTIC FORMULA OF ECCENTRIC DISTANCE SUM FOR VICSEK NETWORK
• MARKOV SPECTRA OF SELF-SIMILAR NETWORKS BY SUBSTITUTION RULE
• AVERAGE GEODESIC DISTANCE OF SIERPINSKI CARPET
• Collective dynamics of ‘small-world’ networks
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: ASYMPTOTIC FORMULA OF AVERAGE DISTANCES ON FRACTAL NETWORKS MODELED BY SIERPINSKI TETRAHEDRON